Resumen de On the boundary of the support of super-Brownian motion

Carl Mueller, Leonid Mytnik, Edwin Perkins

• We study the density X(t,x)X(t,x) of one-dimensional super-Brownian motion and find the asymptotic behaviour of (...) as well as the Hausdorff dimension of the boundary of the support of X(t,⋅)X(t,⋅). The answers are in terms of the leading eigenvalue of the Ornstein–Uhlenbeck generator with a particular killing term. This work is motivated in part by questions of pathwise uniqueness for associated stochastic partial differential equations.